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February 19, 2026Calculus of Variations and Partial Differential Equations1 citationsOpen Access

Parabolic-elliptic and indirect-direct simplifications in chemotaxis systems driven by indirect signalling

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LBL. BuiTHThi Kim Loan HuynhJYJuan Yang

Key Points

  • This research aims to simplify complex chemotaxis systems that involve indirect signalling between chemical signals and responding agents.
  • Mathematical modeling of a chemotaxis system using partial differential equations.
  • Analysis of singular limits in the system to derive simplified models.
  • Examination of boundary conditions on the system dynamics.
  • Demonstrated reduction from a complex to a more manageable parabolic-elliptic form.
  • Identified behavior patterns of agents in response to chemical gradients under indirect signalling.
  • Showed how simplifications retain the essential characteristics of the original system.

Abstract

Abstract Singular limits for the following indirect signalling chemotaxis system aligned \ array{lllllll ₜ n = n - (n c) & in (0, ), \\ ₜ c = c - c + w & in (0, ), \\ ₜ w = w - w + n & in (0, ), \\ _ n = _ c = _ w = 0, & on (0, ) array. aligned ∂ t n = Δ n - ∇ · (n ∇ c) in Ω × (0, ∞), ε ∂ t c = Δ c - c + w in Ω × (0, ∞), ε ∂ t w = τ Δ w - w + n in Ω × (0, ∞), ∂ ν n = ∂ ν c = ∂ ν w = 0, on ∂ Ω × (0, <mml: m

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Cite This Study

Bui et al. (2026) studied this question.

synapsesocial.com/papers/6996a8e3ecb39a600b3f0232https://doi.org/10.1007/s00526-025-03247-4
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